TP and BA are both airlines I really dislike. I usually took TP to LCY until they discontinued and now I am flying the cheapest while avoiding T2 in LIS which is horrible. Usually, this is TP to LGW and U2 to LIS.
Still, all lounges in LIS are in the Schengen area, TP lounge is much better than ANA but also got worse. TP really scams you in irregularities, BA is even more unreliable. Probably best value would be FR but STN is not convenient for me.