Strategic voting is voting not with the party that you support, but voting because of the tactics of who you think is going to win in that constituency. Under any system where you have many parties in a single-member district, people are going to look at the polls, they're going to look at the previous elections' votes, and they're going to calculate that maybe they prefer, for example, the Green Party, but that the Labour Party is going to get elected in Britain, for example, so they're going to vote for them.
You get exactly the same calculations under any of the other systems, but the strategic decisions are being made by the voters about where the best support can be. When you're in a large district, you might think that with a small party you get a better chance, so you can vote for them, but you also have strategic decisions being made by parties about who's their best coalition partner, how they can best put forward a certain number of candidates in any district, and how they can maximize their chances in the way they compete across different areas of the country. Strategic voting goes on across all these different systems, and it's not normally seen as a fundamental problem. I'd argue that it's just a different way of expressing your preferences on the chances of who's going to get in at the end of the day.