Let's assume that the bonds have a par value of $1,000. If conversion happens, then one bond would be converted into 500 shares. The price in the market is unimportant.
Regardless of the share price in the market, the income per share would be increased by the absence of $70 in interest expense. It would be decreased by the lost tax deduction. It would be further diluted by the increase in 500 shares. Likewise, the debt would be extinguished and the equity section increased. Whether it increased or decreased on a per share basis would depend upon the average amount paid in per share in the currently existing structure, adjusted for changes in retained earnings since the initial offering and for any treasury shares.
There would be a loss in value, generally, if it is trading far from $2.00 because it would be valued based on the market price. Had the bond not converted, it would trade in the market as a pure bond if the stock price is far below the strike price and as an ordinary pure bond plus a premium if near enough to the strike price in a manner that depends upon the time remaining under the conversion privilege.
I cannot think of a general case where someone would want to convert below strike and indeed, barring a very strange tax, inheritance or legal situation (such as a weird divorce), I cannot think of a case where it would make sense. It often does not make sense to convert far from maturity either as the option premium only vanishes well above $2. The primary case for conversion would be where the after-tax dividend is greater than the after-tax interest payment.