To me, there could be a few things that could cause this. I would start with the tests that are free.
But first, download a copy of the K7 Wee Service Manual from the downloads section, if you don't already have this manual.
1) Check on how tight the throttle cables are adjusted. Also check for binding thtottle rods, that are may be catching on the airbox / airbox clamp / etc. You will have to remove some tupperware and lifting the fuel tank to see the throttle cam operation -
https://www.vstrom.info/Smf/index.php?topic=7566.02) check the thottle body vacuum nipple covers for any cracks or bad seal.
3) check that the exhaust pipe doesn't have any exhaust leaks. There have been some reports of the exhaust clamp rusting off, causing the bike to stumble / run lean.
4) check the throttle position sensor (TPS) setting. Need help? Have a look at
https://www.vstrom.info/Smf/index.php/topic,19669.0.html By re-adjusting the rpm, so that minus sign in the -C00 dealer mode display moves to the upper level of the C00, to a different rpm range. See whether there is any change in the throttle response. Don't forget to set the TPS to the correct rpm after the test. Note that there have been cases the TPS is fine when cold, but only fails once the TPS is hot.
5) check the TBS -
https://www.vstrom.info/Smf/index.php/topic,5731.0.html Many of the above points have been posted on youtube, either under SV or V-Strom
Good luck. Let me know the outcome.