About a month later, I looked at the Crawls Stats on Google Search Console for this site and noticed that the Kilobytes of data downloaded per day seemed to have reduced in general by more than a half.
I left the Crawls Stats building up till today, 23rd June 2016, and the pattern of Kilobytes downloaded per day seems to have remained similar, in that download of data seems to be generally less than a half, and also after more new images and content being added to the site.
See the Crawl Stats chart below where the significant dip about a third of the way in the block between May 2016 and Jun 2016 is when the lines of code for gZip compression were added to the root .htaccess file.
If you host does not support gZip compression then I recommend SiteGround hosting.
If your are new to web hosting and perhaps require a managed service where I can help manage the technical aspects of the hosting which can often overwhelm beginners, then contact me here.
Google Search Console, Crawl Stats: