The Red Sox had two choices when it came to rebuilding their roster — not to mention their good name — this winter. The first was to recognize the flaws in their open-checkbook approach to team building, clean house, and sign a bevy of proven veterans to plug key holes.

The second was to be the Angels.

We can examine the efficiency of both models this weekend with the Halos in town for three, weather permitting.

The Red Sox finally saw the folly of their free-spending ways last August and bid adieu to Josh Beckett, Adrian Gonzalez and Carl Crawford. They looked not to import a similar amount of talent, but to build a deep roster of complementary parts. The results speak for themselves, as the Sox entered yesterday with the most wins in the American League.

On the flip side, the Angels saw what their approach had gotten them in 2012 — a bloated payroll and an early start on golf season — and doubled down, adding Josh Hamilton in the hopes that even more star power would boost a team that had spent hundreds of millions on Albert Pujols and C.J. Wilson a year earlier.

The result? The Angels arrived at Fenway for yesterday’s rainout eight games under .500, already trailing not only the Rangers by 101⁄2 games for first place, but the budget A’s by 10 games for second.

It’s too early to say their season’s over . . . but their season’s over.

So what can we learn from this cautionary tale? For one thing, it’s that featuring a top-heavy roster invites trouble. Rays manager Joe Maddon has an interesting theory on this development, which flies in the face of some of last decade’s powerhouse teams.

The way Maddon sees it, baseball’s attempts to clean steroids out of the game have flattened the bell curve.

“As the playing field becomes more and more level regarding PEDs (performance-enhancing drugs) being out of the game, to be able to purchase a tremendous advantage is also going away a bit also,” Maddon told the Herald earlier this season. “The purchasing power doesn’t get you what it got you five or 10 years ago. The same amount of money is going to get you a really good baseball player, but not at the level you used to be able to purchase. They’re not building them like they did five or 10 years ago.”

The Angels are living proof. What’s remarkable about the early days of the Steroids era is how frequently massive contracts paid off handsomely. Manny Ramirez earned nearly every penny of his $160 million while slugging for the Red Sox. The same held true of Alex Rodriguez, Jason Giambi and Derek Jeter. Barry Bonds and Roger Clemens remained underpaid until the day they were indicted.