As long as you have the appropriate APN Settings, you should be good. However, the CDMA (Verizon) version of the Note 4 is much less compatible with TMO than the GSM version. If your area has been upgraded to band 12, they might have turned off band 4 on LTE. As it stands, your phone only receives one possible band on LTE, one on 3G and one on GSM.
T-Mobile bands are in bold
band 4 / 1700 MHz AWS (Americas)
band 13 / 750 MHz Upper 700 (USA (Verizon))
WCDMA (3G / 4G)
band 1 (I) / 2100 MHz IMT (Europe, Asia, Africa, Oceania, Brazil, India, Israel)
band 2 (II) / 1900 MHz PCS (Americas)
band 5 (V) / 850 MHz Cellular (Americas, Oceania, Brazil, Israel)
CDMA (2G / 3G)
850 MHz / band 5 / BC0 Cellular (Americas, Oceania, Brazil, Israel)
1900 MHz / band 2 / BC1 PCS (Americas)
850 MHz / band 5 Cellular (Americas, Oceania, Brazil, Israel)
900 MHz / band 8 (Europe, Asia, Africa)
1800 MHz / band 3 DCS (Europe, Asia, Africa)
1900 MHz / band 2 PCS (Americas)
I don't understand why APN setting seem to vary between users who have the exact same phone. I have a Verizon Galaxy Note 4 and tried setting up my phone exactly as noted on the T-Mobile support page for APN settings specifically for the Note 4. Initially I had zero luck getting data to work. Even tech support was unable to assist. I was finally able to get it to work on my own by trial and error. Once I set my phone to "LTE" under Bearer data came right up. I've read where others have left this setting "unspecified", and their phones work just fine.