I'll start by saying it: Gallente ships are the ugliest damn things in space. Amarr ships look okay, caldari are nice in the right light and I love the minmatar design aesthetic, but except for the nyx gallente is all shit, all the time. I've said that I can't tell the front of a moros from the back because the entire thing looks like ass.
The thanatos, in addition to being ugly, is a shitty carrier. The damage bonus is worthless for a carrier's role, amarr has a better tank and minmatar get a remote rep bonus. The thanatos' damage bonus makes it good at one thing though, which is carebearing.
I've been using a chimera for pve. By comparison the thanatos does 25% more damage, locks faster and is cap stable. As an armor tank it's also better against the EM torpedo in DG fleet staging, although amusingly the first fit I tried had trouble tanking the normal ships in the site when fit for the torpedo. Capital armor reppers are incredibly slow.
Fitting for guristas it's a little weaker than the chimera - 5k dps tank instead of 7k - but this probably is not a big deal.
You might note the smartbomb and neut in these fits. All PVE fits should have these: Some plex spawn large numbers of close-range tacklers which the smartbomb can kill quickly should a neutral show up, the neut will save you from getting tackled by a single interceptor like an idiot, and nobody should waste time training advanced drone interfacing past level 3 since it's only used for carebearing.