On my Windows 7 persistent desktop I have Horizon Agent 7.4.0 installed without the LC/IC component. My C:\ProgramData\VMware\VMware Blast directory has 46 items totaling 309 MB. I spot checked a dozen Windows 10 persistent linked clones and C:\ProgramData\VMware\VMware Blast directory has 1-5 items totaling anywhere from a few hundred KB to MB.
What quantity and sizes are you seeing? Is it a particular log? I'm noticing that Blast-Worker-SessionId1-00.log can be hundreds of MB.