These are two different softwares. Although the functions of the two are similar, as long as they are not different versions of the same software, the signatures will not conflict and naturally will not be affected.
SAI and PS are very similar in painting function, but much simpler in function. Many functions of SAI are more humanized than Photoshop, the industry standard drawing software. Because sai has the characteristics of small memory, if your computer configuration is low, you can draw with SAI first. Then SAI can save the image in PSD format that PS can open, and it can be layered. PS cannot save files in SAI format, but PSD files can be opened in SAI.