I am also experiencing this and other performance issues on amazon fire tv stick. So plus one me to the group needing a fix. I am using a 2 TB the western digital essentials drive. Tablo is connected to D-Link DIR-868L (worlds fastest wifi is the claim) via AC powerline AV500 Ethernet (all lights showing green).
Live channels buffer, they flash a buffer icon 5 to 7 times in first minute.
I don't experience the stuttering/buffering problem on recordings. Recently, however, I've noticed that about 10 or 15 minutes into the recording, the image will freeze and sound will continue. It clears up if I hit rewind once (20seconds back). Then it may freeze again 15 or so minutes later.
Additionally, the interface on the fire tv stick is slow; it takes 1 min. 9 seconds to get to live tv from startup.
Additionally, the tablo app on the fire tv will randomly crash and reconnect after I try to exit a live channel or a recording. When it does this it takes 1 min. 30 seconds to change channels (mostly because it crashes and has to reconnect), then it stutters/buffers 8 times in the first minute.
Additionally the interface is quite slow it takes 1 min. 30 seconds to switch from live tv to recordings and back to live tv.
It takes 7 (seven) minutes to start tablo, switch from recordings to live tv, select a channel, exit channel and select a second channel, exit channel and go back to recordings, and exit recordings and go back to live tv. That's a long time to click between two channels and a recording.
I think these issues are just software glitches that can be fixed with better coding.
I also have Netflix and kodi (and nothing else) on the fire tv stick, and they both work flawlessly (i.e. the interface is sufficiently fast to feel responsive to my commands, and HD videos play back on both smoothly and without this constant stuttering buffering.
I have been in contact with Tablo support (which is really quite amazing, fast, and friendly), and I have been told that fixes are on the way.
There is no reason the application on the fire tv stick can't be made to work as we all expect it to. I found the tablo application to work great on ios (ipad /appletv), but I don't like the airplay interface, and I don't like to watch tv on a 6 inch screen.