Yeah, having actual flying experience is what counts when you applied for an Airline job in the US… instead of euro airlines wanting cadets who are cheap to hire but no skills. Even the airlines themselves say the intergrated training is useless in producing the candidates they want.
You likely have better CRM skills as an instructor in real life situations so your qualifications should count more than a newly graduated gear-swinger with 98% average across their ATPL written guff