Not really because the short answer is... there isn't one.
I like the 28mm f/2 and don't have any of the issues you mentioned. Using an A7RIII.
Well, there is two other real 28mm alternatives imo to the Sony 28mm f2, but neither might be suitable;
1)Viltrox 28mm f1.8, the viltrox is probably better overall but, its not weather sealed and possibly not as sharp in the center stopped down, but its 28mm and its an af lens. It really comes down to compromises, the Sony though wide open is soft in the corners, but does it matter, if it does get the Viltrox 28 1.8.
2)The Sigma 28-70 2.8, is not f2 at 28mm its 2.8, but its going to be better imo than the Sony 28f2 prime at 2.8, but yes it doesn't offer f2, but based on user feedback if f2 is so dissapointing do many users even use f2? The great thing about the Sigma 28-70 is its a hard stop at 28mm, you always know its 28mm, unlike a 24-70 where you have to check all the time, its hard stop is 24mm. The Sigma also has the huge advantage of the range and 2.8 throughout and the fact its very small and compact for a zoom.
Unless you need f2 at 28mm and extra size of the Sigma 28-70 is not to your taste then the Viltrox is a 100% viable option and at £/$300 definitely worth a go.
Personally, hr bodies with 4:3 and 5:4 ratios offer the most flexibility going forward, essentially offering 1.125x and 1.2x crop in-camera but still retaining 100% raw files. For this purpose if you want the best possible iq, use the Sony 24 1.4 or if you want something cheaper/smaller but with a well integrated aperture ring the Sigma 24 f2. The Sony 24-70 2.8 used in 4:3 ratio will also offer oustanding iq throughout and using 24-70 2.8 in 4:3 makes it a 28-80mm zoom with a hard stop @28mm
