Mather apologized Sunday and then abruptly resigned the next day, but not before casting a pall over the organization as it began full squad workouts in Arizona.
Dipoto and Servais are both angry.
"I'm embarrassed that this is the way we're viewed because for those of you who've been around me or Scott or this team, this is not how we're wired," Dipoto said. "It's embarrassing to be categorized or deal with the stigma that we are now pinned with, and we have to shed it. It's ours to bear and we now have to be accountable to that, and then find a way to grow beyond it."
Seattle pitcher Marco Gonzales said Tuesday after the first full team workout that players are upset about the comments and annoyed by the distraction when they'd rather have the attention on the build-up toward the start of spring training games.
Gonzales said players are viewing Mather's remarks as the views of someone "not close to us. He's not here throwing a ball. He's not here swinging a bat."
"Sometimes a common goal can unite you, but sometimes a common enemy can do the same, if not greater," Gonzales said. "So I think that's the boat we're in right now."
Mather's most inflammatory comments were about the English skills of former All-Star pitcher Hisashi Iwakuma and top prospect Julio Rodriguez and drew the strongest responses from Dipoto and Servais.
Servais referenced his winter baseball experiences in the Dominican Republic and Venezuela and the Mariners' season-opening trip to Japan two years ago.
"It's an eyeopener. You really, really appreciate what foreign players have to go through. Not just communicating, but then trying to figure out how to play the game at the highest level," Servais said. "So nobody has more appreciation for it than I do and it's a subject I'm very sensitive to."
Mather undermined strategy on the baseball side, admitting that the team was possibly manipulating service time for top prospects Jarred Kelenic and Logan Gilbert. Mather also divulged information about contract negotiations with Kelenic and pitcher James Paxton and called veteran Kyle Seager "overpaid."
Mather drew the ire of the players' association by saying neither Kelenic and Gilbert would be with the major league club on opening day as a way to keep club control for longer.
Those comments in particular have been noticed around baseball and are part of the stigma Dipoto noted the Mariners will have to overcome.
"Every player should wake up and read the news on the guy with the Mariners," said New York Yankees pitcher Gerrit Cole, one of eight players on the union's executive subcommittee. "Those conversions are being had in a lot of clubs, unfortunately, and that's the kind of way a lot of clubs are acting. This guy is talking about players that are making him money. The product is the people that he's talking poorly about. It's just tired. It's tired, man."
Added Yankees' slugger Aaron Judge, "It's saddening to hear those comments coming from a guy in that position. I think we're all ears. It's sad to see. I'm kind of looking forward to seeing what comes out this."
Both Servais and Dipoto said decisions on Seattle's roster have not been made and that the plans for Kelenic and Gilbert have been laid out and communicated to both.
"All of our players are aware of what their path is, what their development plan looks like, and we're very direct and how we share it," Dipoto said.
Servais said he met with several players directly mentioned by Mather.
"I'd say that the temperature was very hot with a number of guys that certainly their names were mentioned for a number of different reasons," Servais said. "It wasn't surprising at all. But I feel very good about this group and I am proud of the way they've handled things so far. We could talk about this all day long and our players will continue to handle things the right way."
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AP freelance writer Mark Didtler in Tampa, Fla., contributed to this report.
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