Interesting question Mike. A few thoughts from my experience. Music 555/552 active in a different room, but I have used tv sound/Apple tv via optic on occasion and 2 channel tv et al can sound very, very good. AV upgrade about to be completed here, in a separate room.
Moving up from 2 or 2.1 to first 3.1, the centre speaker should defintely, from the advice I have received, be as closely matched as possible to the front l/r speakers.
Adding more channels to 5.1 or 7.1, those additional speakers are less critical, since for many movies, it is ambience as much as direct sound, except for a very few ‘real’ sound enhanced movies. Action movies come to mind like war films and the likes of Star Wars.
In the uk, aware that you are in Oz, the view from a couple of trusted dealers, is that Anthem provide a sound compatible with Naim kit.
Installed here is an Anthem AV processor - which does multi channel, together with two different power amps. For front l/r speakers a Naim 250DR driving S400s and an Anthem 5 channel amp driving centre sides and rears. The centre speaker is another S400, all S400s recently serviced with updated crossovers and two pairs of Spendors SA1s (also refurbished) for the side/rear, with a REL sub (existing). As a fan of Ovators, tried alternates but held out for sourcing some very nice additional Ovators (already had another pair in a different system).
Original AV system here was originally a bought used one, around twenty years ago. With advances in codecs, a change considered worthwhile. HDMI inputs from Oppo BluRay and Apple tv, to processor and thence to tv.
At level of 555/552, unless you have spare kit, a dedicated processor will likely be necessary with an aim to come close to match the Naim level. Extracting the sound will likely be key, hence routing the signal via a processor, 2ch, 2.1 or 3.1 level as a starting point. Unless a combined processor + amp is a prerequisite, adding centre and an interim amp to a processor, to assess how far you go, is an option. So saying, adding a sub without processor may have limited impact and to go to 3.1 requires both processor and an additional (1ch) amp.
Whether you wish to justify the cost/reward benefit, is a personal choice. Good 2 ch as you know already, will be hard to beat without committing some serious resource; ymmv.
Hope that helps in a small way. Several alternative options were considered, before final decision, so it isn’t straight forward, hence outlining current av system here, which is only one of several alternates. Vfm was a preference, hence using refurbished speakers and new electronics.