"Do you really need STPP in a front loader?"
Have various vintage phosphate laden detergents in my stash and have to say the query about froth depends more upon the surfactants used.
Fresh Start which is mainly nonionic surfactants and phosphates will not froth much if any on its own. Nonionic surfactants are by nature low frothing and phosphates in of themselves do not create form.
OTOH some other detergents like All, Cold Power, FAB (gold box), Tide and so forth will create various levels of froth from mild to Watch-Out levels. This is because they are blends of anonic (high froth) and maybe nonionic (low froth) surfactants along with phosphates.
In either case the presence of foam controllers (silicone, fish oil, etc...) also plays a role in keeping froth down.
Phosphates soften water, thus if you can use a little less detergent since one of the functions of that product is to soften wash water. Ditto for soap. If you use too much phosphates in relation to either soap or detergent then yes, you are going to have froth issues because the ratios are out of whack. You'll also likely experience difficulty in rinsing as well.
Finally people often see froth in various levels when using phosphates for laundering not always because of soap/detergent dosage. Rather because one of the great functions of STPP and SHTP is they liberate soap/detergent residue trapped in textiles and return it back to the wash water to be rinsed away. If you have been overly generous with detergent/soap in the past and failed to remove, adding phosphates to wash water can give the illusion of using too much detergent/product.