I use the Sandisk UHS-II and I in slots one and two. there is no requirement to use UHS-II.
I also shoot RAW or RAW and JPEG and i have my video if i ever do that to slot 1.
I use to shoot the D750 and D850. If I recall the D750 was not UHS-II complainant if i am wrong oh well, I think I am correct. The D850 uses XQD which is just wonderful and expensive to use at least in slot 1
So for burst use, RAW, Video use why not get all you can out of the tech, but UHS-1 cards are cheap enough you can do your own testing then decide if you need UHS-ii
Since A7III is only 24MP, you can use an UHS-I card like Sandisk Extreme Pro and do RAW+JPEG bursts pretty well. Also, these cards handle all the 4K formats pretty nicely. BTW, Sandisk's Extreme Pro is possibly has the best real world performance amongst UHS-I cards.
The other brand I use are Sony branded SD cards.
IMO i have no interest in Prograde cards which is the successor I guess to Lexar.
I still recommend back up cards for each slot I usually do a 64 gb and 32 gb UHS-II and UHS-i
Keep in mind the investment is one time coming from the film cameras it really is not expensive at all when you use to have to pay between $7 and $12 for a roll of film and an average of $10 each to develop. Not even getting into the whole doing it yourself thing just average pay a lab to do it.
I don't know OP's situation, but Sandisk's 64GB UHS-II Extreme Pro is retailing for five times the price of the 64GB UHS-I Extreme Pro here. Being the slower one is capable of handling long bursts for 99% of the time (at least for me) and 4K video, I can spend that kind of money for a nice filter, or for a partial payment for a nice lens
Also, I can regularly rotate my cards since they are the same, and can get the same performance regardless of the slot.
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If you really want to test your self when you go out to shoot think in blocks of 24 or even 36 shots to get what you need since the typical local outing was maybe 4 rolls of film (36) exposure. $30 for the film and $40 to process so there is $70 for single prints.
Maybe a stretch but I think those with a film background have a big advantage in this digital age.