I'm not sure what application a T-coil has to filtering; usually it's used to extend rather than restrict bandwidth, lol. The classic case being, a capacitive load on an otherwise-resistive bus (e.g. op-amp input from an analog video line), or a resistive load inbetween a capacitive source and load (ye olde T-coil vertical amps). But I'm not very familiar with the wide space of tapped/transformer coupled filters; I'd need to see an example.
Dual coils of various ratings, values, and limited ratios (1:1, 1:2, etc.), are not uncommon these days; not usually with the kind of coupling factors you might use for filters (i.e. 0.2-0.8 say?), but maybe that can be designed around, or of course one can add "leakage" externally.
Tim