I've only these Ticinum Virtvs Avgg Et Caess NN issues only use laureate or LDCR busts.
It seems the horseback type is usually paired with an LDCR bust, and Mars with a laureate bust, but this doesn't seem to have been strict - for example RIC 76 or the unlisted one below.
I've not seen RIC 71, but given how scarce the issue is, and use of both L, LDCR busts for the Mars, I'd not be surprised it it exists. Too bad that the BNF LRBs are not online, or half the Vienna ones !