Depending on the condenser mic you are using live, you may or may not notice a substantial difference. However, I have found that the Rode mics have a nice transparency to their sound without a lot of color. If you have a fairly dead room, you will not need much EQ to get a very natural sound. As with most condensers, you will find that it can get a little harsh with a hard- loud vocalist.
I use a Rode NT-1000 quite a bit and have been very happy with that. I have also used a MXL 990 and have gotten some nice vocal recordings with that. It's a very affordable mic as I recall.
You will find that the phantom power in the Tascam units are more than adequate. I've used these mics with the DP-01FX, DP‑008EX, and the DP-24SD with no issues whatsoever.
The only time I found the unit's pre-amp unable to provide enough signal, was with a ribbon mic. I purchased a pre-amp specifically for that mic so I could match the resistance.
Kevin