No, Lancasters were used more and loss rate is a per sortie statistic, so that wouldn't affected it anyways.
As I recall it was about 30% higher than the Lancasters, but aircrew had about a 30% better chance of getting out of a doomed Halifax.
The Halifax did enter service prior to the Lanc and it was plagued with unstable (when stressed)tail configurations during its early years (MkI's & early MkII's). Years which also saw it participate in some daylight raids prior to bomber commands total adoption of night time bombing.
Its average loss rate per sortie would be biased by this. As loss rates of all bomber types were higher in early war sorties and this was not any fault of the airframes.(apart from the early Halifaxes unstable tail configurations)
Indeed the early Halifax was a contempory of the Manchester (marginally pre dating it depending upon where the line is drawn chronologically speaking).
The Lanc evolved out of the two engined Manchester.
It could be argued that the Halifax MkIII & Mk VI were different air craft to the earlier MkI & MkII. In this case it could be argued that the MKIII and MkVI Halifaxes were true contempories of the Lanc. Fullfilling identical roles with near identical abilities to do so.
Actually neither the lanc or the Halifax have much use in scenarios as we do not seem to run Night time bomber interception scenraios.
The Lanc fullfills its role in the MA adequately.
Then apart from the B52 (which would be seriously abused in the MA and seriously boring in scenarios) the only 4 engined bomber of any remote benefit may be the Condor but then only if we could run battle of the atlantic or battle of the North sea type senarios.
But there are medium/heavy two engined bombers a plenty still waiting to fill the game set.