Just as a thought bubble question - would having two or three 0.001 channels to the one larger node be better or hinder itself Vs one larger 0.003, 0.004, 0.005 channel? (to my thinking two channels out of three could be unbalanced while one is still freed up for more traffic)
Since the payments can be split across multiple channels, I wouldn't be surprised if a single payment exhausted your liquidity in all three channels at once. I would open more than just one channel to the same node if the funds in my existing channel would be often moved the other side despite high fees. That's the only workaround until splicing-in becomes available.
( It'd probably be more likely BTC 0.0011 per channel to enable 0.001 to be sent in one piece - per channel and the other 0.0001 to cover opening/closing fees...)
You could save a ton of money on the fees by
opening multiple channels in a single transaction.