Of course there is an opportunity for both teams to survive in the Premier League by avoiding the relegation zone. The most favorable scenario is if they manage to attract a few top teams or maybe can win a lot of games against the mid-table teams. If they are able to do that, then chances are they will last longer in the Premier League.
It is a smart strategy for weak and small clubs. They will not be able to beat title candidates like Manchester City, Liverpool and clubs in top 4. Even 1 point from them is very hard for small clubs. It's smarter and better to focus on matches against medium and small clubs. They can avoid unnecessary cards, player suspensions, injuries and with best player resources, they can achieve better results. It will help them in ranking.
In my opinion, the amount of money they have spent on signing players this season will not guarantee them a successful stay in the Premier League without struggling in the relegation zone. Even so, they must keep trying to realize the dream so that it is commensurate with what they have spent on the transfer market.
Buying new players will bring hope but also troubles. They can not bring instant effects to the team and sometimes they need a few months to play well in new clubs. Bad debuts, too much pressure can kill their career in new clubs too.