That is my understanding as well. Philosophically, an "income investor" seeks a certain amount of regular cash flow, with the expectation/assumption/estimate/hope, that the underlying assets that generate said income, are either stable, or growing with inflation, or perhaps exceeding inflation.
In contrast, a "growth" investor is seeking capital appreciation, meaning increase in the market-price of the underlying assets, and would then take annual distributions to fund living expenses.
The primary premise behind "income", as I understand it, is stability. The income-stream is low volatility, and the underlying assets are either themselves low volatility, or at very least, their own volatility isn't reflected (much) in the volatility of the income. The practical consequence is, or should be, that our income-investor enjoys robustness to bear markets. There is no need for belt-tightening during bear markets, and no fear of running out of money (depleting the portfolio).
The secondary premise behind "income investing" is something like a higher Sharpe ratio. That is, the gains might be lower than with a "growth" strategy, but gains normalized by standard deviation, are as good as with the growth strategy, or better.
For me, the biggest drawback with "income investing" is the complexity, the fees (likely) and the adverse taxable consequences. I am agnostic as to the cumulative growth, because I have yet to see reliable, long term data - pro or con! - for whether an "income oriented" strategy beats, matches or lags a "growth oriented" strategy.