However, products such as B07H31GXJ2 claim to compatible for both A1582 and 1493

I wonder the same.

Amazon https://www.amazon.de/EGOWAY-A1493-A1582... claims to work for

Compatible with Laptop Models: Mac Book Pro 11.1 13" Retina A1502 ME864xx/A / ME865xx/A/ ME866xx/A - (Late 2013 Version) Mac Book Pro 13" Retina "Core i5" 2.4 Mac Book Pro 13" Retina "Core i5" 2.6 Mac Book Pro 13" Retina "Core i7" 2.8 MGX72xx/A / MGX82xx/A / MGX92xx/A - (Mid 2014 Version) Mac Book Pro 13" Retina "Core i5" 2.4 Mac Book Pro 13" Retina "Core i5" 2.6 Mac Book Pro 13" Retina "Core i7" 2.8 Compatible with Laptop Models: Mac Book Pro 12.1 13" Retina A1502 MF839xx/A / MF840xx/A/ MF841xx/A/ MF843xx/A - (Early 2015 Version) Mac Book Pro 13" Retina "Core i5" 2.7 Mac Book Pro 13" Retina "Core i5" 2.9 Mac Book Pro 13" Retina "Core i7" 3.1

What’s the difference to the late 2014 battery?

IF123-054-5 A1582 for A1502 Early 2015 (6560 mAh) vs.

IF123-053 A1493 for A1502 Mid 2014 (6330 mAh)

I’m afraid they are incompatible?

There's another type of bridge, black, with an extra piece of metal to hold the cable. You don't have to remove this bridge to unmount the optical drive.

Mine are Torx and got an extra clamp for the cable, just above the left screw