The difference in writing (which I don't think is simply a matter of simplification when comparing Kanji and Simplified Chinese), is typically not a problem because of the ways characters are made up on Chinese.
Consider (japanese/chinese) 記/记, 設/设, 語/语, 計/计 and 説/说, by learning that single simplification of the 言 part you already recognise a good amount of characters in Mandarin (there are many more of those in the list). In fact, in many cases a learned reader can just guess the meaning of the other without having to learn them in the first place.
Many of the meaning of the single characters are the same/similar between the two languages. Even in cases where meanings have diverged between Japanese and Chinese, having and understanding of the single characters that make up more complex phrases still helps a lot in terms of guessing meaning and context.
Also, 恋人 doesn't necessarily, and usually doesn't, mean wife/husband in Chinese, its meaning is very similar to the one in Japanese.
Edit: Forgot to mention that if you are interested in seeing the difference between Japanese and Chinese for the 777 characters, simply copy-and-pasting the list into Google Translate as Simplified Chinese does the magic. Running them through a `for` loop shows that there are 184 characters that are not the same between the two languages; I estimate that there are roughly 40% of them that's on the level of 麺/面.
It sounds like it might be useful, but in practice there's so much to do that whatever advantage it gives you is a blip, and the similarities tend to become hindrances when you are in the learning phase. Someone who is already a native speaker of either will get far more out of it than you will as there will be no danger of crossing wires. The only really significant advantage is that it familiarizes you with learning a character-based script in the first place.
Japanese people can vaguely infer the meaning of mandarin, given the simplified characters, without prior exposure to the language before: