I dove independent doubles for years and while you can switch more often to maintain less than a 600 psi or 300 psi difference between tanks, it is more work, involves no gain in safety and has more potential for making a mistake and overusing the intended gas near max penetration.
My preferred method was:
Start on the left (short hose) tank and use 1/3rd of it (1200 psi in a cave filled LP 95, etc), then switch to the right (long hose) tank. You will turn the dive after you use 1200 psi from this second tank, (at that point both SPGs will read 2400 psi). You then stay on the second tank and start your exit, switching back to the first tank after a total of 2400 psi has been used (1200 psi left on the SPG) and then complete the dive on the second tank, breathing it down to 1200 psi.
This leaves 1200 psi in reserve in each tank at the end of the dive and more importantly, leaves 2400 psi in each tank at max penetration. In the event you lose the entire contents of one tank, you have an amount equal to what you used getting there in the remaining tank at the worst case point of the dive. At every place shorter than that, you have extra gas in both tanks.
The only place you could argue it makes a difference to switch more often is at a point 300 psi short of your turn point. But whether you switch every 1200 psi or every 300 psi, one tank is at 2400 psi and the other is at 2700, so there is again no gain in safety with the more frequent switches.
The "switching sooner" argument as noted above to account for SPG inaccuracy, delays in exits, etc is overkill. What matters is the reserve in each tank at the turn point, not how many gas switches you make. For example, you can easily pad your reserve at all points to be more conservative by using 1000 psi or 800 psi thirds rather than 1200 psi thirds. 1000 psi "thirds" leaves you 2600 psi in each tank at the turn and 800 psi "thirds" leaves 2800 psi in each tank at the turn.
With 800 psi thirds, you would start with 3600 in each tank (3600/3600), then switch to the second tank at 2800 psi (2800/3600), turn the dive at 2800 psi (2800/2800), then swith to the first tank when you reach 2000 psi (2800/2000) and end the dive by the time you reach 2000 on the first tank (2000/2000). You end up with a 2800 in both tanks at max pentration with 2800 psi in each tank, against the 1600 psi you used on the way in - a generous 800 psi pad with only 2 gas switches during the entire dive and only a 1.9 pound weight differential between two 130s.
With 1000 psi thirds, the numbers look like this: Start: 3600/3600, 1rst switch: 2600/3600, turn: 2600/2600, 2nd switch 2600/1600), and end: 1600/1600. And this still leaves you 2600 psi in each tank at the turn against 2000 psi used to get there - a 600 psi pad and only a 2.5 weight differnetial.
In terms of trim, even with 1200 psi thirds in a 130 cu ft tank, the maximum differential between tanks is 1200 psi which equals about a 2.8 lb weight differential between tanks. The benefit of this approach is only having to switch regs twice during the entire dive, so unless a 2.8 lb weight difference creates problems with your trim, there is no reason to switch more frequently.
If anyone can explain a flaw in this reasoning and explain where a 300 psi differential is safer, I am all ears.