Well, the main reason I don't like the Ts are that they're sort of... not quite right.
T3400
T6400
T7200
all run at 2.0GHz. I swear there's an element of overclocking there, which is why it's so damn hot always.
I don't know about the overclocking, but from the specs on Wikipedia (busy at the moment so I didn't bother to verify them against Intel's processor database) they seem to be the "lower-quality" binned processors from Intel's 45nm manufacturing process for Penryn.
Notice that:
1) T-series is labelled as 'standard-voltage', P-series is labelled as 'medium-voltage'. I'm guessing that means the T-series is running at a higher voltage, presumably because it was unstable at lower voltages during Intel's QC testing. Again, I'm busy at the moment so I can't verify this.
2) T-series has a 35W TDP, vs 25W TDP for P-series. This supports the above idea that the T-series is binned for operation at a higher voltage and so produces more heat. I have no idea why their stated operating voltages on Wikipedia are the same, maybe I'll check this up when I am free.
3) In general, the P-series was released later than the T-series. During this period of 6-12 months, Intel probably made some advances in their 45nm process, enabling them to produce a more power-efficient Penryn processor (the P-series).
Long story short, P-series > T-series.
Buying a laptop with a good warranty policy and comprehensive accident coverage is a good idea (unless you buy laptops to disassemble and toy with their innards). Unlike with a desktop, you can't replace most parts when they stop working; upgrades/replacements are mainly limited to the hard disk, memory and CPU (depending on whether it's socketed or soldered). So you will need the manufacturer to do any repairs/replacements, and you can't do that cheaply unless you have said warranty policy and accident coverage.