Hi Tom,
1) Interest adds to profit as it is money generated by the portfolio (i.e. not external).
2) Dividends can be treated like interest although theoretically when a company distributes dividends its share price falls by the dividend amount (although in practice this change in share price is usually so small it is often overshadowed by normal daily price volatility).
3) Adding external cash affects the total investment (i.e. initial investment plus new cash), so it doesn't increase total return per se, but does affect the returns in the sense that all subsequent returns are now calculated based on the new total investment.
However I see your point. In that case, within AI, PC would need to be adjusted manually if the AIMer thinks adding cash should not result in purchasing new equity.
Thanks for bringing it up.