fear not
we have one, a 14 jet, own pump, have large tank but not due to bath.
Bath is same length as ordinary, just a bit deeper but I dont think it fills much more than an ordinary one due to overflow drain (which makes me wonder why they bothered to make it deeper).
You can use foam products, just use them very sparingly (especially is water softening system as we have). Is a bit of noise on the pump but thats just part of the "humm" of the jets circulating the water.
Best use is get used to bath, then switch on jets for a bit, then switch off for a bit etc. etc. (this also helps counteract excessive foam build up).
Could thoroughly recommend it, a bath without one isnt worth installing cos I know we wouldnt use ours to 10% of the use we get out of it since it has the jets. One luxury with payback.