They are 2 totally different machines,the Surf PI is designed in a waterproof case and fixed coil size for mainly beach and surf use and is of course restricted depth wise by the hardwired coil,the TDI either 'sl' or the more desirable model the TDI Pro which i have is in a totally different league,its not waterproof so that is of course a down side but alot of folks use these machines on the beach as they can be much deeper.
The main advantage of the TDI is that not only is it alot more powerful,it also has the low/high target conductivity facility which basically means it does have a reasonably good form od discrimination,this is why i use it mainly for relic/hoard hunting,the biggest advantage is the very wide spectrum of coils that are available and not just solely for the TDI but the Minelab GPX Mono coils also work straight out the box on the TDI,i have coils ranging from 6'' right upto a humongous 20'' Mono which is phenomenally deep.
For me the TDI is a far superior and more adaptable machine,the Surf PI is great at what it does and that is mainly for beach work,the TDI can do it both and very well.