Camera configuration - Should I select an AVCHD interlaced format over MP4? I just bought a 2016 Full HD (not 4K capable) video camera and it supports encoding in AVCHD (I believe this is AVCHD 2.0) and MP4. The available Full HD formats are:

AVCHD


1080:60p 1920x1080 60p 28mbps
MXP 1920x1080 60i 24mbps
FXP 1920x1080 60i 17mbps


MP4


1920x1080 60p 35mbps
1920x1080 30p 24mbps
1920x1080 30p 17mbps


I read multiple sources of information online saying that AVCHD was of higher quality and that it should be the preferable option. However my concern is that, unless I choose the high bitrate AVCHD 108060p option, AVCHD is an interlaced format. Here are my questions:


Isn't interlaced a thing of the past that should be avoided nowadays because interlaced screens are just don't available anymore ?
When editing my video, I will plan for the final product to be encoded in a 1080:30p mp4 file. Will the deinterlacing process reduce the quality when compared to shooting in 30p right from the camera ?
Like mentioned earlier it is often mentioned that AVCHD is of better quality, in my camera I have 24mbps and 17mbps options for both formats, will AVCHD look better even if the bitrate is the exact same (and as far as I'm concerned the codec used is also the same H.264 but I guess encoding parameters may differ) ?
Finally, when AVCHD 2.0 was defined, 1080 at 60p was included in the standard, why wasn't 1080 at 30p also included since most if not all video equipment is now using progressive displays.


Sorry for the long question but I think this is all related and I never found a good source of information online that was answering these questions.

Thanks.
I will answer only to the 'interlaced' part.
Yes, it's a thing from the past. Deinterlaced video always will be looking worse than progressive. It's like shooting through the cracked lens and then trying to fix the footage on post. In any circumstances don't shoot a scene with chromakey in interlaced mode. I won't go into details but the results will be terrible.
Advantages of 60p: you will always be able to make slow motion; due to less motion blur, it'll be easier to key the footage.