It actually isn't a terrible suicide lead. If you have a metagame where Nidoqueen RR isn't common, you can use this to set up other pokemon who need damage counters on their opponents. Galade 4 from RR is a perfect example of this, but Bronzong MD and Honchrow G also qualify. If the opponent takes down Bunery, be prepared to punish them by taking the attacker they sent up.
Buneary's attack being usable also means it is able to retreat, so assuming they don't take the KO, you could push Bunery back to the bench and evolve to a support Lopunny, or keep it active for an agro Lopunny.
Despite having a 1 energy attack, Lopunny DP is a no-go, unless you don't mind attaching the DCE, where it has a fairly useful attack to combine with Buneary AA's attack, 30 to an active, 20 to a bench, Lopunny may then switch.
Lopunny LA has a useful Poke-body (Nidoqueen RR while its active to everything but itself), with 2 respectable attacks. Collect is a 0 energy draw 3, which allows Lopunny to be useful even if she had to retreat to the bench at some point, while its 2 energy attack allows it to get a near-2 hit ko on any non-sp pokemon you are likely to meet. Both Flygon and its X have major reservations about taking on Lopunny LA, as it'll place 90 on regular, 120 on the active, for 2 energy. If Flygon thinks of taking the prize, it very badly risks a KO. Unfortunately, Flygon is usually acompanied by Nidoqueen, limiting the usefulness of this tactic.
Loppunny SV is a simple pokemon, and an easy uncommon to aquire (especially as proxxies for other Lopunny, which tend to be rares). 2 2C attacks, one doing 20 with flip paralize, the other being a flat 40.
Lopunny AR is the only Lopunny useful from the bench. You discard an energy, to heal all your pokemon 1. Its actually not a thing to play in Donphan, who both appreciates the assist in KO's Bunery AR can help with early, as well as Lopunny perfectly healing off the damage earthquake does. Nidoqueen lends more power to the same cause, and definately deserves her praise, but Lopunny has the arguabally better basic, wonderful synergy with call energy, can work with Fighting energy, directly helping Donphans cause, and free's up the deckspace nidoqueen would normally need to commit to its stage 1, rare candy, or azelf to make sure none of the latter were prized.
Lopunny isn't the worst pokemon, and Bunery isn't a terrible starter. Its use mostly serves as a suicide lead, but play around with it, it may be the easter present you've always wanted.