For the most part Yandex has been robots.txt compliant.
They apparently consider YaBrowser a separate bot entity from YandexBot, or perhaps the YaBrowser is beyond the definition of a bot.
Didn't see any robots.text request from the YaBrowser.
199.21.99.218 - - [10/Jul/2015:15:56:25 -0600] "GET /MyFolder/MYPage.html HTTP/1.1" 200 14434 "-" "Mozilla/5.0 (Windows NT 6.2; WOW64) AppleWebKit/536.5 (KHTML, like Gecko) YaBrowser/1.0.1084.5402 Chrome/19.0.1084.5409 Safari/536.5"
199.21.99.218 - - [10/Jul/2015:15:56:26 -0600] "GET /ImageFolder/FooterImage.gif HTTP/1.1" 200 1938 "-" "Mozilla/5.0 (Windows NT 6.2; WOW64) AppleWebKit/536.5 (KHTML, like Gecko) YaBrowser/1.0.1084.5402 Chrome/19.0.1084.5409 Safari/536.5"
199.21.99.218 - - [10/Jul/2015:15:56:26 -0600] "GET /ImageFolder/DifferentFooterImage.gif HTTP/1.1" 200 2362 "-" "Mozilla/5.0 (Windows NT 6.2; WOW64) AppleWebKit/536.5 (KHTML, like Gecko) YaBrowser/1.0.1084.5402 Chrome/19.0.1084.5409 Safari/536.5"