So, I looked at the instructions and I didn't expect it to be possible with just a simple IRFZ.
However, I just looked at the datasheets and would actually prefer to choose the IRFZ46N! This corresponds much better to the original component in terms of thermal properties.
Edit: I can imagine that the IRLS3034 shouldn't get so hot^^ So, they are probably being very cautious, but it is completely oversized. As I said, the IRFZ46N is slightly better than the original according to the datasheet. If you were to use an IRFZ48N, you would definitely outperform the original component. And the advantage of IRFZs is really the price... --> around 60 cents
Best regards,
Marcus