Tested:
1. Works in Samsung Internet on the same device but doesn't show the permission state (guessing because it isn't supported).
2. In chrome version 66.0.3359.126, OS Android 7.0.0; SM-A520F Build/NRD90M allows access to the camera but shows that the permission state is DENIED. (hope the fiddle is valid...)

hope this helps

update:
Apparently the permission state is PROMPT when I browse chrome in this device:
Chrome version: 66.0.3359.126  Channel: n/a
OS Version: 6.0.1;SM-J510FN Build/MMB29M

Chrome doesn't prompt the user and fails to open the camera

Tested the issue using #66.0.3359.126 on Android Samsung J7, 7.0.0 and could not reproduce the issue as per the steps mentioned below.

Steps:
1. Launch Browser
2. Run this fiddle in Chrome on Android (version specified): https://jsfiddle.net/yzcgbcmk/2/
3. Click on the file input and try to choose a file
4. Observed camera permission state: PROMPT 
5. Able to open the Camera as well

@Reporter: Could you please find the above observations and help us with a screencast for further triaging of the issue?

See screenshots.
Sorry for the ones that aren't in English.
In order, hopefully:
1. Permissions for the jsfiddle site, no camera permission.
2. Chrome stopped after attempting to open a file chooser after clicking
the file input.
3. Jsfiddle stating that the camera permission state is PROMPT.
4. Permissions for the PWA I'm testing and getting the bug in the specified
device.




בתאריך יום ד׳, 9 במאי 2018, 13:26, מאת sandeepk… via monorail ‏<
monorail+v2.1342645230@chromium.org>:

Thank you for providing more feedback. Adding the requester to the cc list.

For more details visit https://www.chromium.org/issue-tracking/autotriage - Your friendly Sheriffbot

I saw you tested on Android 7.0.0
The bug occurs on Android 6.0.1 as specified

בתאריך יום ד׳, 9 במאי 2018, 13:59, מאת שחר ננצל ‏<shacharnen@gmail.com>:

Tested the issue using #66.0.3359.158 on Android Nexus 5; 6.0.1 and could not reproduce the issue as per the steps mentioned below.

Steps:
1. Launch Browser
2. Run this fiddle in Chrome on Android (version specified): https://jsfiddle.net/yzcgbcmk/2/
3. Click on the file input and try to choose a file
4. Observed camera permission state: PROMPT 
5. Able to open the Camera as well

@Reporter: Please find the screenshot and help us with a screencast or screenshot from your end?

Thanks!!

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	840877.png 107 KB View Download

I replied from gmail with attachments, it didn't attach the files. Sorry about that. See attachments, sorry for non-english details.
Strangely enough it now works. 10 hours ago it didn't.
After checking what changed I saw in chrome settings that the version updated from #66.0.3359.126 to #66.0.3359.158.

Thanks for the thorough response!

Will attach a screencast

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	site settings jsfiddle.png 36.6 KB View Download

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	site setting PWA.png 40.8 KB View Download

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	jsfiddle.png 37.2 KB View Download

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	file chooser error.png 23.1 KB View Download

Thank you for providing more feedback. Adding the requester to the cc list.

For more details visit https://www.chromium.org/issue-tracking/autotriage - Your friendly Sheriffbot

screencast made on a different device:
OS Android #6.0.0
Chrome #66.0.3359.126

Deleted: bug screencast 11.7 MB

bug screencast 11.7 MB View Download

This screencast works. At the end there's a bug report - maybe helpful

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	bug screencast.mp4 11.7 MB View Download

Requesting Blink>GetUserMedia team for further triaging of the issue as this issue isn't repro from our end on Android 6.0.1, 7.0.0.

Thanks!!

shacharnen@gmail.com: Thanks for providing the screencast. Unfortunately, I can't understand it. Can you provide one in English?

Also, please clarify what the bug is. 
Your original report says that this went wrong: "Chrome doesn't prompt the user for permissions to use the camera but still opens the file chooser dialog"

However, opening the file chooser does not depend on  any camera permission, so shy shouldn't Chrome open it? Chrome will prompt for permission to use the camera if you call getUserMedia and request video.

Closing since no feedback has been provided and it is not clear that this refers to a real bug. Please reopen or file a new bug if this is still an issue and there is more information available.