I agree with this and to add to this point. we shouldn't forget that Dubnyk and Bishop had significant struggles before they established themselves as starters.
Bishop went from STL -> OTT -> TB -> LAK -> DAL before establishing himself as a legit #1.
Bishops career transactions...
February 26, 2012: Traded to Ottawa by St. Louis for Ottawa's 2nd round pick (Thomas Vannelli) in 2013 NHL Draft.
April 3, 2013: Traded to Tampa Bay by Ottawa for
Cory Conacher and Philadelphia's 4th round pick (previously acquired, Ottawa selected
Tobias Lindberg) in 2013 NHL Draft.
February 26, 2017: Traded to Los Angeles by Tampa Bay for
Peter Budaj, Erik Cernak, Los Angeles' 7th round pick in 2017 NHL Draft and a Los Angeles conditional pick in the 2017 NHL Draft.
May 9, 2017: Traded to Dallas by Los Angeles for 4th round pick (previously acquired from Montreal) in 2017 NHL Draft.
Dubnyk lost his game in EDM and went to NSH -> MTL (but played in the AHL) -> PHX -> before becoming a starter in MIN.
Dubnyk career transactions...
January 15, 2014: Traded to Nashville by Edmonton for
Matt Hendricks.
March 5, 2014: Traded to Montreal by Nashville for future considerations.
July 1, 2014: Signed as a free agent by Arizona.
January 15, 2015: Traded to Minnesota by Arizona for Minnesota's 3rd round pick (Brendan Warren) in 2015 NHL Draft.
The point of this is that just because your a bigger guy, it doesn't mean you automatically have an advantage. These two examples had to grind for years to establish themselves as starters later in their careers. They didn't step in and take hold of the starter's job like a Price or a Hart, ect.