I don't understand how someone can have "a property interest that is not a security interest". I'm assuming the example below, of a claimant havinmg "a priorietary interest in shares that are held by the defendant" instantiates a property interest that's NOT a security interest?
But how can someone acquire "a proprietary interest in shares that are held by the defendant"? What does this mean exactly?
Secondly, where the claimant has a property interest that is not a security interest, if the property in which the claimant has the interest has increased in value, the claimant will get the benefit of that increase. So, for example, if the claimant has a proprietary interest in shares that are held by the defendant, the claimant will be able to gain both the benefit of any dividends paid in respect of the shares and any increase in the value of the shares. Of course, if the claimant has a property interest in shares that have fallen in value, it may be preferable for the claimant to pursue a personal rather than a proprietary claim. So, for example, if the defendant trustee has misappropriated £200,000 from a trust fund which was held for the claimant beneficiary, the claimant will have a proprietary claim against the defendant to recover the £200,000 that was misappropriated and, alternatively, a personal claim for the amount misappropriated. If the defendant used the £200,000 to buy a house, the claimant will be able to claim the house instead of the money.71 But, if the value of the house has fallen to less than £200,000, it will be preferable for the claimant to rely on the personal claim to recover the amount of £200,000. In reality, in such a case it is unlikely that the defendant will have enough money to repay the claimant in full. The defendant may well be insolvent and so the claimant, who would be treated as an unsecured creditor as regards their personal claim, will have an equal claim with all the defendant’s other creditors to the defendant’s assets. It may, therefore, still be worth pursuing a proprietary claim to recover the value of the house, even though it is less than what the defendant actually owed to the claimant.
Virgo, The Principles of Equity & Trusts 2020 4th edn. Page 16. All boldings and italics are mine.