In general LAX is superior to SFO in terms of lounges irrespective of airline. For instance, looking at the international terminal of LAX we've got the
following:
In other words, irrespective of which alliance you fly (SkyTeam, Star Alliance or OneWorld) there will be a lounge waiting for you, (provided of course you either have status with said airline/alliance or are travelling in business). Now I must level with you, I have not been to the OneWorld lounges...yet, but have been to the Star Alliance lounge and quite frankly it is lovely, there's a roof top terrace with bar, good buffet selection, showers, well stocked bar, etc. I have also been to the AmEx Centurion lounge (holding a Canadian Platinum card) and found the food selection there to be nice, albeit if it is a bit more busy than the Star Alliance lounge. Aside from the above mentioned lounges, there are of course a ton of airline lounges at the various other terminals of LAX including American, Delta and United lounges. Contrast this with SFO which has substantially fewer lounges, and the quality of those lounges are questionable at best (i.e. just United Club for Star Alliance).
Another big distinction for me versus SFO is that you can transfer between terminals without having to re-clear security as just about every terminal is connected to each other. Now it is true, the trek between terminals can be long. For instance, getting from Terminal 7/8 where United domestic flights arrive to the international terminal is a brisk 25 minute hike. However, I would argue that this is still better than the uncertainty of having to re-clear security to switch terminals, particularly if you don't have TSA pre-check.
There are two benefits I can see from flying through SFO. The first is that there is a hotel that is linked to the SkyTrain, namely the Hyatt Regency SFO Airport. Secondly, the airport is substantially smaller than LAX and thus much easier to navigate and get around.