Hi SBM, That is the way Briggs and Stratton have done it for years...if the recoil starter can be repaired, there should be no reason (other than external damage) that the air-cowling should part company with the engine. I suppose they have to put the ID info somewhere.
Please do not PM me asking for support. Please post your questions in the appropriate forums, as the replies it may receive may help all members, not just the individual member. Kindest Regards, Darryl