What do you expect to gain by using these batteries in your detectors?
There are good LSD NiMH AA and 9V rechargeable options out there that give plenty of run time without the added maintenance of using a rechargeable lithium battery.
The only real advantage of a lithium-based battery in a metal detector (over an LSD NiMH battery) would be weight and low-temperature performance.
Weight-wise, we're probably talking about 20-50 grams. If you're a gram weeny, maybe that's worth it.
Temperature-wise, most of us don't hunt in sub-zero temps very often. But if you do, then lithiums (primaries, which are non-rechargeable or poly/ion, which are rechargeable) are something to consider, I suppose.
You might be wondering about run-time. Depending on which batteries you're comparing, the lithium cells might only give a small increase in run time compared to NiMH batteries.
For example, if you use Tenavolts (lithium) in your T2 instead of Eneloops (LSD NiMH), the overall energy in those lithium cells is only marginally more than the Eneloops. Why? Because the Tenavolts have a special voltage converter/device inside the cell that steps down the 3.7+ nominal volts of the lithium cell to a fully regulated 1.5V output. Oh, and keep in mind that these added electronics in these special lithium batteries emit EMI. Whether that EMI will affect your detector is up to debate.